Simplify 5 square root of 17+4 square root of 2- square root of 17-4 square root of 2

$5 \sqrt{17} + 4 \sqrt{2} - \sqrt{17} - 4 \sqrt{2}$

Step 1

Subtract $\sqrt{17}$ from $5 \sqrt{17}$ .

$4 \sqrt{17} + 4 \sqrt{2} - 4 \sqrt{2}$

Step 2

Subtract $4 \sqrt{2}$ from $4 \sqrt{2}$ .

$4 \sqrt{17} + 0$

Step 3

Add $4 \sqrt{17}$ and $0$ .

$4 \sqrt{17}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$4 \sqrt{17}$

Decimal Form:

$16.49242250 \dots$